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Jun 20, 2018 at 17:03 comment added M.L Yes, $T'(x)h$ is the directional derivative at the point $x$ in the direction $h$. Linearity is not assumed.
Jun 20, 2018 at 16:23 comment added Piotr Hajlasz Regarding the definition of the Hadamard derivative. What is $T'(x)$? Is it directional derivative? Do you assume linearity in $h$?
Jun 20, 2018 at 13:53 comment added M.L @PiotrHajlasz I edited
Jun 20, 2018 at 13:53 history edited M.L CC BY-SA 4.0
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Jun 20, 2018 at 13:33 comment added Piotr Hajlasz Can you recall the definition of the Hadamard derivative?
Jun 20, 2018 at 12:02 history asked M.L CC BY-SA 4.0